Curriculum Vitae

Michele Mugnaine

Institute of Physics
University of São Paulo - São Paulo, SP, Brazil
mmugnaine@gmail.com
Web of Science ResearcherID: IXD-3077-2023
ORCiD: 0000-0002-8169-4723

Education

• PhD in Physics September 2022
  Federal University of Paraná
  Thesis title: Dynamics of maps derived from the non-twist map.
  Advisors: Prof. Dr. Ricardo Luiz Viana and Prof. Dr. José Danilo Szezech Jr.

• Master’s degree in Physics February 2019
  State University of Ponta Grossa
  Dissertation title: Transport and symmetry in nontwist Hamiltonian systems
  Advisor: Prof. Dr. José Danilo Szezech Jr.

• Bachelor of Physics February 2017
  State University of Ponta Grossa
  Undergraduate thesis title: Islands, Chaos and Dynamic Traps in a Hamiltonian System
  Advisor: Prof. Dr. José Danilo Szezech Jr.

Researche experience

• Postdoctoral Researcher Since Nov/2023
  University of Texas at Austin
  • Postdoctoral researcher at the Institute for Fusion Studies of University of Texas at Austin
  • Theoretical and numerical investigation of mechanism of transport in symplectic maps
  • Supervisor: Prof. Philip J. Morrison
• Postdoctoral Researcher Since Nov/2022
  University of São Paulo
  • Postdoctoral researcher at the Institute of Physics of University of São Paulo
  • Theoretical and numerical investigation of Oscillations in Magnetically Confined Plasmas
  • Supervisor: Prof. Dr. Iberê Luiz Caldas
• Doctoral Researcher 2019–2022
  Federal University of Paraná
  • Theoretical and numerical investigation of maps derived from the Standard Nontwist map.
  • Analysis of symmetry, transport, multistability and bifurcations on the Extended Standard Nontwist map, Dissipative Standard Nontwist map and Sice-Circle Nontwist map.
  • Advisors: Prof. Dr. Ricardo Luiz Viana and Prof. Dr. José Danilo Szezech Jr.

Teaching and mentoring experience

• Assistant professor 2023
  University of São Paulo
  • Classic Mechanics course for graduate students
• Teaching internship 2019–2020
  Federal University of Paraná
  • Tutored students for some classes in the Classic Mechanics course.
  • Helped students prepare for exams and homework assignments by demonstrating the resolution of problem sets.
• Co-advisor of undergraduate research project 2017–2018
  State University of Ponta Grossa
  • Co-oriented one undergraduate student for the research project “Coexistence of Chaos and Periodicity in Hamiltonian Dynamical Systems”

Publications

1. Mugnaine, M. Leal, B. B., Ozorio de Almeida, A. M., Viana, R. L., Caldas, I. L. (2024) Isochronous bifurcations in a two-parameter twist map. Physical Review E, 110, 024206.

2. Souza, L. C. , Sales, M. R. , Mugnaine, M. , Szezech, J. D. , Caldas, I. L. , Viana, R. L. (2024) Chaotic escape of impurities and sticky orbits in toroidal plasmas. Physical Review E, 109, 015202.

3. Mugnaine, M., Caldas, I. L., Szezech Jr, J. D., & Viana, R. L. (2023). Nontwist field line mapping in a tokamak with ergodic magnetic limiter. Physical Review E, 108(5), 055206.

4. Viana, R. L., Mugnaine, M., & Caldas, I. L. (2023). Hamiltonian description for magnetic field lines in fusion plasmas: A tutorial. Physics of Plasmas, 30(9).

5. Sales, M. R., Mugnaine, M., Szezech, J. D., Viana, R. L., Caldas, I. L., Marwan, N., & Kurths, J. (2023). Stickiness and recurrence plots: An entropy-based approach. Chaos: An Interdisciplinary Journal of Nonlinear Science, 33(3).

6. Mugnaine, M., Sales, M. R., Szezech Jr, J. D., & Viana, R. L. (2022). Dynamics, multistability, and crisis analysis of a sine-circle nontwist map. Physical Review E, 106(3), 034203.

7. Gabrick, E. C., Protachevicz, P. R., Batista, A. M., Iarosz, K. C., de Souza, S. L., Almeida, A. C., Szezech Jr., J. D., Mugnaine, M., & Caldas, I. L. (2022). Effect of two vaccine doses in the SEIR epidemic model using a stochastic cellular automaton. Physica A: Statistical Mechanics and its Applications, 597, 127258.

8. Sales, M. R., Mugnaine, M., Viana, R. L., Caldas, I. L., & Szezech Jr, J. D. (2022). Unpredictability in Hamiltonian systems with a hierarchical phase space. Physics Letters A, 431, 127991.

9. Mugnaine, M., Gabrick, E. C., Protachevicz, P. R., Iarosz, K. C., de Souza, S. L., Almeida, A. C., Batista, A. M., Caldas, I. L., Szezech Jr., J. D & Viana, R. L. (2022). Control attenuation and temporary immunity in a cellular automata SEIR epidemic model. Chaos, Solitons & Fractals, 155, 111784.

10. Batista, A. M., de Souza, S. L., Iarosz, K. C., Almeida, A. C., Szezech Jr, J. D., Gabrick, E. C., Mugnaine, M., dos Santos, G. L., & Caldas, I. L. (2021). Simulation of deterministic compartmental models for infectious diseases dynamics. Revista Brasileira de Ensino de Física, 43.

11. Viana, R. L., Caldas, I. L., Szezech Jr, J. D., Batista, A. M., Abud, C. V., Schelin, A. B., Mugnaine, M. Santos, M. S., Leal, B.B., Bartoloni, B & Morrison, P. J. (2021). Transport barriers in symplectic maps. Brazilian Journal of Physics, 51, 899-909.

12. Mugnaine, M., Batista, A. M., Caldas, I. L., Szezech Jr., J. D., De Carvalho, R. E., & Viana, R. L. (2021). Curry–Yorke route to shearless attractors and coexistence of attractors in dissipative nontwist systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 31(2).

13. Mugnaine, M., Batista, A. M., Caldas, I. L., Szezech Jr., J. D., & Viana, R. L. (2020). Ratchet current in nontwist Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 30(9).

14. Mathias, A. C., Mugnaine, M., Santos, M. S., Szezech Jr, J. D., Caldas, I. L., & Viana, R. L. (2019). Fractal structures in the parameter space of nontwist area-preserving maps. Physical Review E, 100(5), 052207.

15. Santos, M. S., Mugnaine, M., Szezech, J. D., Batista, A. M., Caldas, I. L., & Viana, R. L. (2019). Using rotation number to detect sticky orbits in Hamiltonian systems. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(4).

16. Mugnaine, M., Andrade, F. M., Szezech, J. D., & Bazeia, D. (2019). Basin entropy behavior in a cyclic model of the rock-paper-scissors type. Europhysics Letters, 125(5), 58003.

17. Mugnaine, M., Reis, A. S., Borges, F. S., Borges, R. R., Ferrari, F. A., Iarosz, K. C., … & Batista, A. M. (2018). Delayed feedback control of phase synchronisation in a neuronal network model. The European Physical Journal Special Topics, 227, 1151-1160.

18. Santos, M. S., Mugnaine, M., Szezech, J. D., Batista, A. M., Caldas, I. L., Baptista, M. S., & Viana, R. L. (2018). Recurrence-based analysis of barrier breakup in the standard nontwist map. Chaos: An Interdisciplinary Journal of Nonlinear Science, 28(8).

19. Mugnaine, M., Mathias, A. C., Santos, M. S., Batista, A. M., Szezech Jr, J. D., & Viana, R. L. (2018). Dynamical characterization of transport barriers in nontwist Hamiltonian systems. Physical Review E, 97(1), 012214.

Conference presentations

Oral presentations

1. 1st Applied Dynamics Workshop. Curitiba, PR - Brazil. May 2023. Mugnaine, M. “Multistability and chaotic attractor crisis in the non-twist sine-circle map”.

2. Dynamics Days Europe 2021. Nice - France. August 2021 Mugnaine, M.; Batista, A. M. ; Caldas, I. L. ; Szezech Jr., J. D. ; Carvalho, R. E. ; Viana, R. L. “Dissipation in the standard nontwist map: the route to chaos and the coexistence of attractors” (online presentation).

3. International Max Planck Research School for Many Particle Systems in Structured Environments. Karpacz - Poland. September 2019. Mugnaine, M.; Andrade, F. M. ; Szezech, J. D. ; Bazeia, D. “Basin Entropy Method Applied to a Cyclic Three-Species Competition Model”.

4. School and Workshop on Patterns of Synchrony: Chimera States and Beyond. Trieste - Italy. May 2019. Mugnaine, M. “Transport barriers and flux of trajectories in nontwist systems”.

5. Seminars in the Graduate Program in Science/Physics - UEPG. Ponta Grossa, PR - Brazil. 2018. Mugnaine, M.; Szezech Jr., J. D. “Transport in Nontwist Hamiltonian Systems”.

6. Workshop on applied non-linear dynamics in the Graduate Program in Physics at UFPR. Curitiba, PR - Brazil. 2018. Mugnaine, M.; Szezech Jr., J. D. “Symmetry breaking on non-twist maps”.

Poster presentation

1. 65th Annual Meeting of the APS Division of Plasma Physics. Denver - USA. October 2023. M. Mugnaine, I. L. Caldas, P. J. Morrison. “Maps for different scenarios of confined fusion plasmas”.

2. Nonlinear Data Analysis and Modeling: Advances, Applications, Perspectives. Potsdam - Germany. March 2023. Mugnaine, M.; Gabrick, Enrique C. ; Protachevicz, Paulo R. ; Iarosz, K. C. ; De Souza, Silvio L.T. ; Almeida, Alexandre C.L. ; Batista, Antonio M. ; Caldas, Iberê L. ; Szezech Jr, José D. ; Viana, Ricardo L. “Control attenuation and second wave scenario in a cellular automata SEIR epidemic model”.

3. Autumn Meeting of the Brazilian Physical Society. São Paulo, SP - Brazil. April 2022. Mugnaine, M.; Batista, A. M. ; Caldas, I. L. ; Carvalho, R. E. ; Viana, R. L. ; Szezech Jr, J. D. “Route to chaos and the coexistence of attractors in dissipative nontwist systems”.

4. 1st Perspectives on Oscillation Control. São Paulo, SP - Brazil. November 2019. Mugnaine, M.; Batista, A. M. ; Caldas, I. L. ; Szezech, J. D. ; Viana, R. L. “Escape basin method applied to the evaluation of the parameter space for asymmetric nontwist system”.

5. Conference on Perspectives in Nonlinear Dynamics. São Paulo, SP - Brazil. July 2019. Mugnaine, M.; Mathias, A. C. ; Santos, M. S. ; Batista, A. M. ; Szezech, J. D. ; Viana, R. L. “Dynamical description of trajectories flux in the phase space for nontwist Hamiltonian systems”.

6. Dynamics Days Latin America and the Caribbean. Punta del Este - Uruguay. December 2018. Mugnaine, M.; Mathias, A. C. ; Santos, M. S. ; Batista, A. M. ; Szezech Jr., J. D. ; Viana, R. L. “Turnstiles as a mechanism of increasing the flux of trajectories in Hamiltonian systems”.

7. 7th International Symposium on Recurrence Plots. São Paulo, SP - Brazil. August 2017. Mugnaine, M.; Santos, M. S. ; Batista, A. M. ; Viana, R. L. ; Caldas, I. L. ; Szezech Jr., J. D. “Application of the recurrence plot for nontwist systems”.

References

• Iberê Luiz Caldas, Professor (Postdoc supervisor)
  Institute of Physics - University of São Paulo
  Email: ibere@if.usp.br

• Ricardo Luiz Viana, Professor (Ph.D. advisor)
  Department of Physics - Federal University of Paraná
  Email: rlv640@gmail.com

• José Danilo Szezech Jr., Professor (M.Sc. advisor)
  Department of Mathematics and Statistics - State University of Ponta Grossa
  Email: jdsjunior@uepg.br